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2403302120142 = 2371123331371329
BaseRepresentation
bin100010111110001111111…
…110000001101011001110
322111202100020221022012220
4202332033332001223032
5303333430320321032
65040021201040210
7335430031651350
oct42761776015316
98452306838186
102403302120142
118472644359a0
12329939026066
13145827047a51
148446b4210d0
15427ae74712c
hex22f8ff81ace

2403302120142 has 128 divisors (see below), whose sum is σ = 6037681628160. Its totient is φ = 619560714240.

The previous prime is 2403302120119. The next prime is 2403302120207. The reversal of 2403302120142 is 2410212033042.

It is a happy number.

It is a super-2 number, since 2×24033021201422 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33657534 + ... + 33728862.

It is an arithmetic number, because the mean of its divisors is an integer number (47169387720).

Almost surely, 22403302120142 is an apocalyptic number.

2403302120142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2403302120142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018840814080).

2403302120142 is an abundant number, since it is smaller than the sum of its proper divisors (3634379508018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2403302120142 is a wasteful number, since it uses less digits than its factorization.

2403302120142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71898.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2403302120142 its reverse (2410212033042), we get a palindrome (4813514153184).

The spelling of 2403302120142 in words is "two trillion, four hundred three billion, three hundred two million, one hundred twenty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 233 313 462 466 626 699 939 1398 1631 1878 2191 2563 3262 3443 4382 4893 5126 6573 6886 7689 9786 10329 13146 15378 17941 20658 24101 35882 48202 53823 71329 72303 72929 107646 142658 144606 145858 213987 218787 427974 437574 499303 510503 784619 802219 998606 1021006 1497909 1531509 1569238 1604438 2353857 2406657 2995818 3063018 4707714 4813314 5492333 5615533 10984666 11231066 16476999 16619657 16846599 22325977 32953998 33239314 33693198 44651954 49858971 66977931 99717942 116337599 133955862 156281839 182816227 232675198 245585747 312563678 349012797 365632454 468845517 491171494 548448681 698025594 736757241 937691034 1096897362 1279713589 1473514482 1719100229 2559427178 3438200458 3839140767 5157300687 5201952641 7678281534 10314601374 10403905282 15605857923 31211715846 36413668487 57221479051 72827336974 109241005461 114442958102 171664437153 218482010922 343328874306 400550353357 801100706714 1201651060071 2403302120142